{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Rounded Nose Cone Radar Cross Section\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 7.4.1.6, for cones with rounded nose tips, as shown in Figure 7.12, the physical optics approximation with axial incidence is given by (Equation 7.55)\n",
    "\n",
    "$$\n",
    "    \\sigma = \\pi b^2\\Bigg[ 1 - \\frac{\\sin\\big(2kb(1-\\sin\\alpha)\\big)}{kb\\cos^2\\alpha} + \\frac{1 + \\cos^4\\alpha}{4(kb)^2\\cos^4\\alpha}  - \\frac{\\cos\\big(2kb(1-\\sin\\alpha)\\big)}{2(kb^2)\\cos^2\\alpha} \\Bigg] \\hspace{0.5in} \\text{(m}^2\\text{)},\n",
    "$$\n",
    "\n",
    "\n",
    "where $b$ is the radius of the rounded nose tip. For incident angles other than axial, but less than the cone angle ($\\theta_i \\le \\alpha$),  (Equation 7.56)\n",
    "\n",
    "$$\n",
    "    \\sigma =  \\pi b^2 \\frac{1 + \\theta_i^2}{4(kb)^2} \\Big[A_1 + A_2 \\cos\\big(2k\\cos\\theta_i (1 - \\sin\\alpha)\\big)  + A_3\\sin\\big(2k\\cos\\theta_i(1-\\sin\\alpha)\\big)\\Big]\\hspace{0.25in} \\text{(m}^2\\text{)},\n",
    "$$\n",
    "\n",
    "where\n",
    "\n",
    "\\begin{align}\n",
    "    A_1 = \\; &2 + 2\\alpha^2 - 2\\theta_i^2 + \\alpha^4 - \\alpha^2\\theta_i^2 + 0.5\\theta_i^4 + 2\\alpha^4\\theta_i^2 + 4(kb)^2 - 2(kb)^2\\theta_i^2 \\nonumber \\\\[5pt]\n",
    "    &- 8(kb)^3\\theta_i^2 + (kb)^2\\theta_i^4 + 6(kb)^2\\alpha^2\\theta_i^2 + 8(kb)^3\\theta_i^4 + 13(kb)^4\\theta_i^4, \\\\  \\nonumber \\\\\n",
    "    A_2 = &-2 -2\\alpha^2 + 2\\theta_i^2 + \\alpha^2\\theta_i^2 - 0.5\\theta_i^4 - 6(kb)^2\\theta_i^2 + 8(kb)^4\\theta_i^3 + 3(kb)^2\\theta_i^4, \\\\  \\nonumber \\\\\n",
    "    A_3 = &-4\\big(1 + \\alpha^2 - 0.5\\theta_i^2 + 3(kb\\theta_i)^2\\big)\\big(kb - kb\\theta_i^2 - (kb\\theta_i)^2\\big) - 4(kb\\theta_i)^3.\\nonumber \n",
    "\\end{align}\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the operating frequency (Hz), the cone half angle (radians), and the nose radius (m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import radians\n",
    "\n",
    "frequency = 1e9\n",
    "\n",
    "cone_half_angle = radians(20.0)\n",
    "\n",
    "nose_radius = 1.4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the incident angles using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "incident_angle = linspace(0, cone_half_angle, 1801)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the radar cross section (m^2) for the rounded nose cone"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.rcs.rounded_nose_cone import radar_cross_section\n",
    "\n",
    "from numpy import array\n",
    "\n",
    "rcs = array([radar_cross_section(frequency, cone_half_angle, nose_radius, ia) for ia in incident_angle])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the radar cross section (m^2) for the rounded nose cone using the routines from `matplotlib`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from numpy import log10, degrees\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(degrees(incident_angle), 10.0 * log10(abs(rcs)), '')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('RCS vs Incident Angle', size=14)\n",
    "\n",
    "plt.ylabel('RCS (dBsm)', size=12)\n",
    "\n",
    "plt.xlabel('Incident Angle (deg)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
